Symplectic nilmanifolds with a symplectic non-free $Z_3$-action

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This paper expands some of the issues of the paper math.SG/0506449. We introduce a new technique to produce symplectic manifolds, by taking a symplectic non-free action of a finite group on a symplectic manifold and resolving symplectically the singularities of the quotient. We also introduce a new type of Massey product to detect non-formality. This allows to show the first example of a non-formal simply connected compact symplectic manifold of dimension 8.
21 pages, no figures; v2. exposition greatly improved

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Symplectic Geometry, Algebraic Topology, 57R17; 55S30; 55P62

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http://salesiana.dossiersoluciones.com/handle/123456789/99976

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506452
 http://arxiv.org/abs/math/0506452

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arXiv